Fiscal policy tools and the fiscal multiplier
Governments spend through transfers, current spending and capital projects, and raise money through direct and indirect taxes. Indirect taxes can change almost overnight; income taxes and benefits take months; capital projects take years. Each unit of new spending raises output by 1 / [1 − MPC × (1 − t)], where MPC is the marginal propensity to consume.
Before this: Fiscal vs monetary policy and what fiscal policy is for
On the exam
- Describe tools of fiscal policy, including their advantages and disadvantages
Describe the tools of fiscal policy and their advantages and disadvantages. Expect a classification item (fiscal or monetary, direct or indirect tax, fast or slow) and a multiplier calculation that includes the tax leak.
How deeply to learn each part
- Know the idea
- Understand it in general. It frames other topics, but you will not calculate with it.
- Use it
- Understand it well enough to solve a question with it. Recognize when it applies.
- Memorize
- Learn it by heart. The exam will not give it to you.
You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.
You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.
What can a government spend money on?
Government spending takes three forms.
- Transfer payments are welfare payments through the social security system: state pensions, housing and child benefits, tax credits, income support and unemployment benefits. They give low-income households a minimum income and change the distribution of income. They are not part of gross domestic product (GDP), because they do not reward a factor of production, and they are not counted as government spending on goods and services.
- Current government spending buys goods and services on a regular, recurring basis: health, education and defense. It shapes a country’s skills and labor productivity.
- Capital expenditure is infrastructure investment: roads, hospitals, schools, prisons. It adds to the capital stock and the economy’s productive potential.
- Government spending Memorize
- Transfer payments pensions, unemployment and child benefits, income support; not in GDP
- Current government spending recurring: health, education, defense
- Capital expenditure roads, hospitals, schools, prisons; adds to capacity
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- Taxes Memorize
- Direct taxes on income, wealth and profits
- Income, wealth, corporate profits, capital gains
- Payroll or employment taxes, property, inheritance
- Indirect taxes on spending
- Value-added or sales tax
- Excise duties: fuel, alcohol, tobacco; gambling taxes
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Spending is justified on economic and social grounds: to provide services such as defense that benefit everyone, to build infrastructure that helps growth, to guarantee a minimum income, to manage aggregate demand for low inflation and high employment, and to subsidize new, high-risk industries such as alternative energy.
How does a government raise money?
Direct taxes are levied on income, wealth and corporate profits. They include capital gains taxes, payroll (employment or national insurance) taxes, corporate taxes, local income and property taxes, and inheritance tax. Indirect taxes are levied on spending: value-added taxes (VAT) or sales taxes and excise duties on fuel, alcohol and tobacco. Health and education are often exempted on social grounds.
Taxes can serve social aims as well as raise revenue. Tobacco and gambling taxes deter use, and fuel duties make travel more expensive for environmental reasons.
Exam tip A payroll tax falls on labor income, so it is direct. If it is added to the price at the register, it is indirect.
Economists judge a tax system by four attributes, which can conflict.
- Simplicity easy to comply with and enforce; liability certain
- Efficiency distorts choices as little as possible
- Fairness horizontal equity: like pays like; vertical equity: richer pay more
- Revenue sufficiency raises enough to fund spending
Most people accept that income tax should be progressive (richer pay a larger share). Some argue for a flat rate for simplicity. A rise in income tax meant to cut a deficit may reduce work effort, so revenue sufficiency can clash with efficiency.
Go deeper Supply-side arguments about incentives
Supply-side economists argue that high income taxes cut the incentive to work, save and invest, and that cuts and simplification raise work effort and investment. The evidence is mixed: work effort may rise, but tax cuts have had little effect on saving. Tax reform debates cover flat rates, consumption taxes, indexing to inflation and the taxation of dividends and estates.
Which tools are fast and which are slow?
Memorize
| Advantages | Disadvantages |
|---|---|
| Indirect taxes adjust almost immediately and raise revenue cheaply | Direct taxes and benefits need months of notice, because payroll and benefit systems must be changed |
| Social aims (less tobacco, alcohol or fuel use) can be pursued instantly through excise duties | Capital projects take years to plan and build, so they are poor short-term stabilizers, though they add to capacity |
| Announcements can change behavior before a measure starts | The slower a measure, the more likely the economy has moved on before it bites |
Announcements can work as fast as the measure itself: a tax rise announced for next year can cut spending today, although the evidence for this is mixed.
Tools also differ in potency. Direct government spending moves aggregate output more than an equal income tax cut or transfer rise, because part of a tax cut is saved. The exception is a transfer or tax cut aimed at the poorest households, who spend almost all they receive.
Go deeper Spending versus a tax cut of the same size
Take MPC 0.90, net tax rate 40% and multiplier 2.174. A spending rise of 50 adds 50 straight to demand, so output rises 50 × 2.174 = 108.7. A lump-sum tax cut of 50 gives households 50 but they spend only 0.90 × 50 = 45 in the first round, so output rises 45 × 2.174 = 97.8. Same size, weaker effect.
How does the fiscal multiplier work?
Memorize
New government spending becomes someone’s income. They pay tax, spend a share of what is left, and that spending becomes another person’s income, round after round. The total effect is a multiple of the first round. Three quantities set the multiple.
- The marginal propensity to consume (MPC) is the share of each extra unit of disposable income that is spent.
- The marginal propensity to save (MPS) is the share saved, so MPS = 1 − MPC.
- The net tax rate is taxes less transfers as a share of income. It leaves households with disposable income .
Households spend MPC of what is left, so each round passes on only of the last. The rounds add up to a geometric series, which sums to the fiscal multiplier .
Try this 0 of 3
- With the worked example, switch on "Ignore taxes"
- Set up the asked-as example: MPC 0.60, tax rate 40%, spending +20
- Raise the tax rate to 45% or more and watch the multiplier shrink
Rounds of spending (EUR bn). Each round is 0.54 of the one before.
First 8 rounds: 107.91. All rounds: 108.70.
Of each extra unit of income, 40% goes in tax and 0.1 of the rest is saved, so only 0.54 is spent again. Spending of 50 raises output by 108.70.
Show working
Share of each round spent again = MPC × (1 − t) = 0.9 × 0.6 = 0.54
Multiplier = 1 ÷ (1 − 0.54) = 1 ÷ 0.46 = 2.1739
Change in output = 50 × 2.1739 = 108.70 (EUR bn)
Ignoring taxes (the trap): 1 ÷ (1 − 0.9) = 10, giving 500.00.
- 1−(0.9×0.6)=0.46, leaked each round
- 1/x2.1739, the multiplier
- ×50=108.6957, the change in output
1/x reciprocal
- 1ENTER0.9ENTER0.6×−0.46, leaked each round
- 1/x2.1739, the multiplier
- 50×108.6957, the change in output
ENTER enter (on the HP, puts the number on the stack) · 1/x reciprocal
With no taxes it reduces to , which overstates the effect, because taxes are a leak from every round, as is saving.
The marginal propensity to consume is 0.9 and the net tax rate is 40.00%. The fiscal multiplier is closest to:
1 ÷ [1 − 0.9 × (1 − 0.4)] = 1 ÷ 0.46 = 2.1739
Fiscal multiplier, k2.1739
- 1−0.4=×0.9=+|-+1=1/x2.1739
+|- change sign · 1/x reciprocal
- 1ENTER0.4−0.9×CHS1+1/x2.1739
ENTER enter (on the HP, puts the number on the stack) · CHS change sign · 1/x reciprocal
Go deeper When the multiplier is smaller in practice
The formula assumes unused labor and capital and constant prices. Near full employment, extra demand raises prices instead of output, so the true multiplier is smaller. In an open economy some spending leaks abroad as imports, shrinking it further. Automatic stabilizers also damp the response to any shock, because they lower the effective multiplier.
What is the balanced budget multiplier?
Memorize
If a government raises spending and taxes by the same amount, output still rises, because households cut spending by only the MPC share of each unit of tax, while the government spends the whole unit. The balanced budget multiplier is 1: output rises by exactly the amount of the balanced change.
Go deeper Why the result is exactly 1
The spending multiplier is and the lump-sum tax multiplier is . Add them and the sum is , whatever the value of . The curriculum states the rule as a fact to remember: a balanced budget change in spending and taxes raises output by the same amount.
Memorize this
MemorizeSpeed of each tool
| Tool | Speed | Note |
|---|---|---|
| Indirect taxes (VAT, excise) | Fastest | Change almost at once; cheap to collect; social aims |
| Direct taxes, transfers | Months | Payroll and benefit systems need notice; announcements act sooner |
| Capital spending | Slowest | Years to plan and build; adds to capacity |
Memory hook Speed follows the paperwork: a rate on a price tag is quick, a payroll or benefit system is slower, a bridge is slowest.
Know it cold Payroll or employment taxes are direct (on labor income), not indirect. VAT and excise are indirect.
MemorizeMultiplier formulas
Know it cold . No taxes: . . . . Balanced budget multiplier = 1 (equal rise in spending and taxes raises output by that amount).
- Government spending Memorize
- Transfer payments pensions, unemployment and child benefits, income support; not in GDP
- Current government spending recurring: health, education, defense
- Capital expenditure roads, hospitals, schools, prisons; adds to capacity
-
- Taxes Memorize
- Direct taxes on income, wealth and profits
- Income, wealth, corporate profits, capital gains
- Payroll or employment taxes, property, inheritance
- Indirect taxes on spending
- Value-added or sales tax
- Excise duties: fuel, alcohol, tobacco; gambling taxes
-
- Simplicity easy to comply with and enforce; liability certain
- Efficiency distorts choices as little as possible
- Fairness horizontal equity: like pays like; vertical equity: richer pay more
- Revenue sufficiency raises enough to fund spending
Quick example
Income is 600 and the net tax rate is 35%. Disposable income = 0.65 × 600 = 390.
- 1−0.35=×600= 390
- 1ENTER0.35−600× 390
ENTER enter (on the HP, puts the number on the stack)
Quick example
MPC 0.65 and net tax rate 45%. k = 1 ÷ [1 − 0.65 × 0.55] = 1 ÷ 0.6425 = 1.56. Without taxes it would be 1 ÷ 0.35 = 2.86.
- 1−0.45=×0.65=+|-+1=1/x 1.5564
+|- change sign · 1/x reciprocal
- 1ENTER0.45−0.65×CHS1+1/x 1.5564
ENTER enter (on the HP, puts the number on the stack) · CHS change sign · 1/x reciprocal
Quick example
With k = 1 ÷ 0.6425 = 1.56, government spending of GBP 12 billion raises output by 12 ÷ 0.6425 = GBP 18.7 billion, given spare capacity.
- 12÷0.6425= 18.68
- 12ENTER0.6425÷ 18.68
ENTER enter (on the HP, puts the number on the stack)
Quick example
Spending and taxes both rise by GBP 50 billion. Output rises by GBP 50 billion, a multiplier of 1, however large the ordinary multiplier is.
How it is asked
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Compute the multiplier effect
MPC 0.60, net tax rate 40%, spending up 20. Output change?
1 ÷ (1 − 0.60 × 0.60) = 1.5625; × 20 = 31.25. Ignoring tax gives 50.
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Direct or indirect?
Which is a direct tax: VAT, excise duty on alcohol, tax on capital gains?
Capital gains. VAT and excise are indirect.
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Which tool is least suited to short-term stabilization?
A VAT change / a hospital-building program / a temporary rise in unemployment benefit.
The hospital program. Capital projects take years but add to capacity.
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Balanced budget
Spending and taxes rise by the same amount. Effect on output?
Output rises by that same amount (multiplier 1). Not zero.
Exam traps
- Leaving out (1 − t) in the multiplier. 1 / (1 − MPC) overstates the effect.
- Classifying VAT or excise as direct taxes, or payroll taxes as indirect.
- Calling capital spending a good short-term stabilizer. It is too slow, though it adds to capacity.
- Saying a balanced budget increase in G and T leaves output unchanged. The multiplier is 1.
Checkpoint
5 exam-style questions. About 90 seconds each.
1The marginal propensity to consume is 0.75 and the net tax rate is 30%. A GBP 10 billion increase in government spending will raise output by closest to:
2Which of the following is most likely a direct tax?
3The fiscal tool least suited to short-term stabilization because of the time it takes to plan and implement is:
4Of each extra CHF 400 of income, 25% goes in net taxes and households spend CHF 255. Assuming the same proportions for further income, the fiscal multiplier is closest to:
5A government raises spending and lump-sum taxes by the same GBP 25 billion. The marginal propensity to consume is 0.80. The change in output is closest to:
Key takeaways
- Spending tools: transfers, current spending, capital spending. Revenue tools: direct and indirect taxes.
- Indirect taxes act fastest; capital projects are slowest but build capacity.
- Multiplier = 1 / [1 − MPC(1 − t)]. Taxes and saving are leaks.
- Balanced budget multiplier = 1.
Quick example
Income is 600 and the net tax rate is 35%. Disposable income = 0.65 × 600 = 390.
- 1−0.35=×600= 390
- 1ENTER0.35−600× 390
ENTER enter (on the HP, puts the number on the stack)
Quick example
MPC 0.65 and net tax rate 45%. k = 1 ÷ [1 − 0.65 × 0.55] = 1 ÷ 0.6425 = 1.56. Without taxes it would be 1 ÷ 0.35 = 2.86.
- 1−0.45=×0.65=+|-+1=1/x 1.5564
+|- change sign · 1/x reciprocal
- 1ENTER0.45−0.65×CHS1+1/x 1.5564
ENTER enter (on the HP, puts the number on the stack) · CHS change sign · 1/x reciprocal
Quick example
With k = 1 ÷ 0.6425 = 1.56, government spending of GBP 12 billion raises output by 12 ÷ 0.6425 = GBP 18.7 billion, given spare capacity.
- 12÷0.6425= 18.68
- 12ENTER0.6425÷ 18.68
ENTER enter (on the HP, puts the number on the stack)
Quick example
Spending and taxes both rise by GBP 50 billion. Output rises by GBP 50 billion, a multiplier of 1, however large the ordinary multiplier is.
Questions about this lesson?
Where this comes back
- Is fiscal policy expansionary? Structural deficits and policy lags Fiscal Policy
- How monetary and fiscal policy interact Monetary Policy
Questions candidates ask
How do you calculate the fiscal multiplier?
Use 1 ÷ [1 − MPC × (1 − t)], where MPC is the marginal propensity to consume out of disposable income and t is the net tax rate. Multiply the result by the change in government spending to get the change in output, assuming spare capacity.
What is the balanced budget multiplier?
It is 1. If a government raises spending and taxes by the same amount, output rises by that amount, because households cut spending by only the MPC share of each unit of tax while the government spends all of its unit.
What is the difference between direct and indirect taxes?
Direct taxes fall on income, wealth and profits, including payroll, capital gains and inheritance taxes. Indirect taxes fall on spending, such as value-added or sales tax and excise duties on fuel, alcohol and tobacco. Indirect taxes can be changed fastest.
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